Research Article
Development and use of Test Instruments to measure Algebraic Reasoning Based on Cognitive Systems in Marzano’s Taxonomy
Mochamad Abdul Basir 
,
S.B. Waluya,
Dwijanto,
Isnarto
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Basir MA, Waluya S, Dwijanto, Isnarto. Development and use of test instruments to measure algebraic reasoning based on cognitive systems in Marzano’s taxonomy. . 2021;2(2):163-175. doi: 10.12973/ejmse.2.2.163
Basir, M. A., Waluya, S., Dwijanto, & Isnarto. (2021). Development and use of test instruments to measure algebraic reasoning based on cognitive systems in Marzano’s taxonomy. European Journal of Mathematics and Science Education, 2(2), 163-175. https://doi.org/10.12973/ejmse.2.2.163
Basir Mochamad Abdul, S.B. Waluya, Dwijanto, and Isnarto. "Development and use of Test Instruments to measure Algebraic Reasoning Based on Cognitive Systems in Marzano’s Taxonomy," European Journal of Mathematics and Science Education 2, no. 2 (2021): 163-175. https://doi.org/10.12973/ejmse.2.2.163
Basir, MA Waluya, S Dwijanto, & Isnarto, 2021, 'Development and use of test instruments to measure algebraic reasoning based on cognitive systems in Marzano’s taxonomy', European Journal of Mathematics and Science Education, vol. 2, no. 2, pp. 163-175. Basir, Mochamad Abdul et al. "Development and use of Test Instruments to measure Algebraic Reasoning Based on Cognitive Systems in Marzano’s Taxonomy." European Journal of Mathematics and Science Education, vol. 2, no. 2, 2021, pp. 163-175, https://doi.org/10.12973/ejmse.2.2.163.
Abstract
Algebraic reasoning involves representation, generalization, formalization of patterns and order in all aspects of mathematics. Hence, the focus of algebraic reasoning is on patterns, functions, and the ability to analyze situations with the help of symbols. The purpose of this study was to develop a test instrument to measure students' algebraic reasoning abilities based on cognitive systems in Marzano's taxonomy. The cognitive system in Marzano's taxonomy consists of four levels, including retrieval, comprehension, analysis, and knowledge utilization. According to the stage of cognitive development, students are at the level of knowledge utilization. At this level, students can make decisions, solve problems, generates and test hypotheses, as well as carry out investigations that are in line with indicators of algebraic reasoning abilities. The stages in developing the test instrument were based on three phases: preliminary investigation phase, prototyping phase, and assessment phase. The study obtains a set of valid and reliable algebraic reasoning test instruments for students based on the cognitive system in Marzano's taxonomy. Through the development of an algebraic reasoning test instrument based on Marzano's taxonomy, students can build' thinking habits so that active learning exercises occurs.
Keywords: Algebraic reasoning, cognitive system, Marzano’s taxonomy, Matrix algebra.
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